Henry Cavill and Kaley Cuoco showcase their super new romance as they go hiking AND hold hands on their grocery shop

But on Wednesday, Man Of Steel star Henry Cavill and The Big Bang Theory's Kaley Cuoco confirmed their fledgling relationship as they took a walk around LA hand-in-hand.

And it appears that the pair are already over that exciting period of romantic first dates, instead opting for the more domestic chore of doing their weekly grocery shop together, near Kaley's home in Sherman Oaks, California.

The couple that workout together: Kaley Cuoco star of TV show The Big Bang Theory went hiking with new love Henry Cavill

Inseparable: The Superman actor and his rumored new girlfriend then went for sushi near her home in Sherman Oaks

Is it a bird, is it a plane?: The couple appear supernaturally close already as they did their workout together

Sticking together: Henry and Kaley stayed close together during the workout session

They may have only gone public with their love for a day, but the pair seemed perfectly at ease with each other as they brought a huge amount of shopping from the local shop, and stopped off at a different store to get wine.

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And while their outfits were unnccordinated, the pair's body language seemed to be in sync as they smiled at the attention Henry received from fans inside the store.

Kaley wore a loud graphic print top with leaopard print sleeves, while Henry clashed in his bright pink t-shirt.

Yes, we're a couple! Kaley appears to bit her lip while Henry smirks as they both walk hand-in-hand together in Sherman Oaks

A lot in common: Henry and Kaley are said to be represented by the same Beverly Hills based publicity firm

It was reported this week that Kaley, 27, and Henry, 30, struck up a romance, although according to insiders they have been trying to keep things 'hush hush'.

But now it seems that the pair couldn't wait to get out and show off their love for all to see.

Kaley's not been doing a good job of keeping a low profile either.

Supermarket sweep: The hot new couple looked pleased as punch as the left the grocery store in LA

They don't mess around! Henry and Kaley are already doing their weekly grocery shopping together

Whatever happened to casual dating? Henry and Kaley seem to be already very serious and at ease with one another

Too good to be true! It seems Henry and Kaley are already living the dream in their relationship

The Big Bang Theory star sent tongues wagging when she was spotted out with two cups of coffee yesterday prompting rumours that one of the drinks was for Henry.

Later the 27-year-old, who is an avid horse-rider, was spotted trotting around an equestrian centre without her leading man.

Earlier the pair - who both are
represented by the same Beverly Hills-based publicity firm Viewpoint Inc
- had been seen dressed down in fitness attire after going for a hike,
and appeared to be keeping a low profile in dark shades and caps.

You take it: The pair seem to be already in the rhythm of an everyday couple

Warp speed: It will be exciting to see what the fast-moving couple get up to next

Part of the job: Henry is more than happy to stop and give an autograph to a passer-by

Clashing couple: Henry and Kaley wore uncoordinated tops but opted for matching blue jeans for their public outing

But wearing their big grins while out
shopping on Wednesday, it appears the couple are happy to let the world
know how serious they are for each other.

The pair are said to be 'totally hot for each other' after both recently moving on from their respective partners.